Philosophy 2500F/G Lecture Notes - Lecture 5: Mathematical Analysis, Deductive Reasoning

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In contrast to deductive a deductive argument is necessary, the conclusion necessarily follows from the analysis. We are inductive by nature because we are nite and we can"t experience the future. But we have expectations that the future will continue the same as the past. All men are moral, socrates is a man, therefore socrates is mortal (deductive argument) The particular (the past, nite), psychological conditioning the general (the future) Necessity through time, we want an in nite number of cases. How do we know that this uniformity of nature will be the same over time, we dont because we are using nite to prove something that is in nite. We want to know that this natural law will be in nite because we want it to be necessary not based on probability. How can you know something that happened in the past will happen the same way in the future.

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